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Finding the Fourth Proportional to 339,764.74, 509,647.22 and 99,878.63

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Solution

The fourth proportional to 339,764.74, 509,647.22 and 99,878.63 is: 149,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,764.74 : 509,647.22 = 99,878.63 : x
  2. Step 2: Convert to fraction form
    339,764.74/509,647.22 = 99,878.63/x
  3. Step 3: Cross multiply
    339,764.74x = 509,647.22 × 99,878.63
  4. Step 4: Simplify right side
    339,764.74x = 50,902,867,640.72
  5. Step 5: Solve for x
    x = 50,902,867,640.72/339,764.74
  6. Step 6: Final answer
    x = 149,817.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.